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Title: A Hyers-Ulam stability analysis for classes of Bessel equations
Author: Castro, L. P.
Simões, A. M.
Keywords: Hyers-Ulam stability
Sigma-semi-Hyers-Ulam stability
Hyers-Ulam-Rassias stability
Bessel equation
Modified Bessel equation
Issue Date: 2021
Publisher: Faculty of Sciences and Mathematics, Department of Mathematics- Universitet of Nis
Abstract: Mathematical modeling helps us to better understand different natural phenomena. Modeling is most of the times based on the consideration of appropriate equations (or systems of equations). Here, differential equations are well-known to be very useful instruments when building mathematical models - specially because that the use of derivatives offers several interpretations associated with real life laws. Differential equations are classi ed based on several characteristics and, in this way, allow different possibilities of building models. In this paper we will be concentrated in analysing certain stability properties of classes of Bessel differential equations. In fact, the main aim of this work is to seek adequate conditions to derive different kinds of stabilities for the Bessel equation and for the modi ed Bessel equation by considering a perturbation of the trivial solution. In this way, suficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, sigma-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations.
Peer review: yes
DOI: 10.2298/FIL2113391C
ISSN: 0354-5180
Appears in Collections:CIDMA - Artigos
DMat - Artigos
FAAG - Artigos

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